If she chooses to stay home, I think she should (and most would) serve the role as doer of most of the domestic work (including child rearing). Domestic work is no less a chore than working outside the home for pay, and both add value to the partnership. She pulls her weight either way.
How is that "entitlement?"
The primary entitlement women do have, that men do not, is the right to make the choice to stay in the home in the first place. Stay at home husbands do not have the same social acceptance. That's not women's fault's though, as I myself view stay at home husbands as a bit weird, truth be told.